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34538868 = 22327132811
BaseRepresentation
bin1000001111000…
…0010101110100
32101222202102100
42003300111310
532320220433
63232142100
7566401260
oct203602564
971882370
1034538868
1118550621
12b697930
137203c00
1448310a0
153073b13
hex20f0574

34538868 has 108 divisors (see below), whose sum is σ = 108177888. Its totient is φ = 9097920.

The previous prime is 34538839. The next prime is 34538899. The reversal of 34538868 is 86883543.

34538868 is a `hidden beast` number, since 34 + 538 + 86 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42183 + ... + 42993.

Almost surely, 234538868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34538868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54088944).

34538868 is an abundant number, since it is smaller than the sum of its proper divisors (73639020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34538868 is a wasteful number, since it uses less digits than its factorization.

34538868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 836 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 34538868 is about 5876.9777947513. The cubic root of 34538868 is about 325.6637103243.

It can be divided in two parts, 3453 and 8868, that added together give a palindrome (12321).

The spelling of 34538868 in words is "thirty-four million, five hundred thirty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 811 819 1014 1092 1183 1521 1622 1638 2028 2366 2433 3042 3244 3276 3549 4732 4866 5677 6084 7098 7299 9732 10543 10647 11354 14196 14598 17031 21086 21294 22708 29196 31629 34062 42172 42588 51093 63258 68124 73801 94887 102186 126516 137059 147602 189774 204372 221403 274118 295204 379548 411177 442806 548236 664209 822354 885612 959413 1233531 1328418 1644708 1918826 2467062 2656836 2878239 3837652 4934124 5756478 8634717 11512956 17269434 34538868